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10121123029 is a prime number
BaseRepresentation
bin10010110110100010…
…00001010011010101
3222010100200022200111
421123101001103111
5131212001414104
64352150443021
7505545061213
oct113321012325
928110608614
1010121123029
114324123596
121b65663471
13c53b185c4
146c0291cb3
153e3836404
hex25b4414d5

10121123029 has 2 divisors, whose sum is σ = 10121123030. Its totient is φ = 10121123028.

The previous prime is 10121122981. The next prime is 10121123057. The reversal of 10121123029 is 92032112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9614783025 + 506340004 = 98055^2 + 22502^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121123029 - 211 = 10121120981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121103029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060561514 + 5060561515.

It is an arithmetic number, because the mean of its divisors is an integer number (5060561515).

Almost surely, 210121123029 is an apocalyptic number.

It is an amenable number.

10121123029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121123029 is an equidigital number, since it uses as much as digits as its factorization.

10121123029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10121123029 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, twenty-nine".